22327680 has 128 divisors (see below), whose sum is σ = 73807200. Its totient is φ = 5734400.

The previous prime is 22327673. The next prime is 22327703. The reversal of 22327680 is 8672322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22327680³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55480 + ... + 55880.

Almost surely, 2^22327680 is an apocalyptic number.

22327680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36903600).

22327680 is an abundant number, since it is smaller than the sum of its proper divisors (51479520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22327680 is a wasteful number, since it uses less digits than its factorization.

22327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 22327680 is about 4725.2174553136. The cubic root of 22327680 is about 281.5882527813.

The spelling of 22327680 in words is "twenty-two million, three hundred twenty-seven thousand, six hundred eighty".